Publication details
Submaximally symmetric quaternion Hermitian structures
Authors | |
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Year of publication | 2020 |
Type | Article in Periodical |
Magazine / Source | International Journal of Mathematics |
MU Faculty or unit | |
Citation | |
Web | https://doi.org/10.1142/S0129167X20500846 |
Doi | http://dx.doi.org/10.1142/S0129167X20500846 |
Keywords | Symmetry dimension; automorphism group; quaternion-Hermitian manifolds; the gap phenomenon; Wolf space; quaternion-Kahler structure |
Description | We consider and resolve the gap problem for almost quaternion-Hermitian structures, i.e. we determine the maximal and submaximal symmetry dimensions, both for Lie algebras and Lie groups, in the class of almost quaternion-Hermitian manifolds. We classify all structures with such symmetry dimensions. Geometric properties of the submaximally symmetric spaces are studied, in particular, we identify locally conformally quaternion-Kahler structures as well as quaternion-Kahler with torsion. |
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